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Finding the Fourth Proportional to 397,408.80, 596,113.20 and 131,210.40

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Solution

The fourth proportional to 397,408.80, 596,113.20 and 131,210.40 is: 196,815.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,408.80 : 596,113.20 = 131,210.40 : x
  2. Step 2: Convert to fraction form
    397,408.80/596,113.20 = 131,210.40/x
  3. Step 3: Cross multiply
    397,408.80x = 596,113.20 × 131,210.40
  4. Step 4: Simplify right side
    397,408.80x = 78,216,251,417.28
  5. Step 5: Solve for x
    x = 78,216,251,417.28/397,408.80
  6. Step 6: Final answer
    x = 196,815.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.